Question

If one of the zero of the polynomial 3x²+8x+k is reciprocal of the other.Find the value of k

Answer 1

solution-

the value of k will be 3

Answer 2

According to the question, the zeroes of the polynomial are

$\alpha \: and \: \frac{1}{ \alpha }$

As we know,

Product of zeroes = $\frac{c}{a}$

So,

$\alpha \times \frac{1}{ \alpha } = \frac{k}{3}$

$1 = \frac{k}{3}$

$= > k = 3$

Hence, the value of k is

$\red{\huge{3}}$